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math.AP2026
The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space
Mengru Guo, Yang Jiao
In this paper, we consider the Dirichlet problem for a class of prescribed Hessian quotient type curvature equations in Minkowski space. For non-convex domains, we prove the existe…
math.AP2024
The Pogorelov estimates for degenerate curvature equations
Heming Jiao, Yang Jiao
We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of…